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Finding the Third Proportional to 209,760,093 and 317,551,765.50

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Solution

The third proportional to 209,760,093 and 317,551,765.50 is: 480,735,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760,093 : 317,551,765.50 = 317,551,765.50 : x
  2. Step 2: Convert to fraction form
    209,760,093/317,551,765.50 = 317,551,765.50/x
  3. Step 3: Cross multiply
    209,760,093x = 317,551,765.50 × 317,551,765.50
  4. Step 4: Simplify right side
    209,760,093x = 100,839,123,772,166,992
  5. Step 5: Solve for x
    x = 100,839,123,772,166,992/209,760,093
  6. Step 6: Final answer
    x = 480,735,502.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.